Question

Please answer my question fastly GUYS

Answer 1

Expression Solved by Salma :

$\frac{ \sqrt{2} }{ \sqrt{5} + \sqrt{3} } \\ \\ \bf \: On \: rationalizing \: the \: denominator \\ \bf \: we \: get \\ \\ = \frac{ \sqrt{2} }{ \sqrt{5} + \sqrt{3} } \times \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ \\ = \frac{ \sqrt{2} ( \sqrt{5} - \sqrt{3} )}{ {( \sqrt{5} )}^{2} - {( \sqrt{3}) }^{2} } \\ \\ = \frac{ \sqrt{10} - \sqrt{6} }{5 - 3} \\ \\ = \frac{ \sqrt{10} - \sqrt{6} }{2}$

The value it depicted :

$\frac{ \sqrt{10} - \sqrt{6} }{2}$

Expression Solved by Anil :

$\sqrt{28} + \sqrt{98} + \sqrt{147} \\ \\ = \sqrt{2 \times 2 \times 7} + \sqrt{7 \times 7 \times 2} + \sqrt{7 \times 7 \times 3} \\ \\ = \sqrt{ {2}^{2} \times 7} + \sqrt{ {7}^{2} \times 2} + \sqrt{ {7}^{2} \times 3 } \\ \\ = 2 \sqrt{7} + 7 \sqrt{2} + 7 \sqrt{3} \\ \\ = 7 \sqrt{2} + 7 \sqrt{3} + 2 \sqrt{7}$

The value it depicted :

7√2 + 7√3 + 2√7

If any doubt, please ask ;)